Quasi-Invariant measures, escape rates and the effect of the hole

2009/06/29 by Bahsoun, Wael, Bose, Christopher · 1 citation
#37A05 #37E05 #Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.0906.5375

Abstract

Let T be a piecewise expanding interval map and T_H be an abstract perturbation of T into an interval map with a hole. Given a number ℓ, 0

Cited by

• The boundary of chaos for piecewise smooth maps and the boundary of positive Hausdorff dimension for survivor sets of open maps

Related

• Equilibrium states, pressure and escape for multimodal maps with holes
• Escape Rates and Singular Limiting Distributions for Intermittent Maps\n with Holes
• Where to place a hole to achieve a maximal escape rate
• Extensive escape rate in lattices of weakly coupled expanding maps with holes
• Escape rates for Gibbs measures